What is the Average Salary of All Workers?

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Homework Help Overview

The discussion revolves around determining the average salary of all workers based on the provided average salaries of female and male workers. The original poster presents multiple-choice options regarding the average salary, prompting exploration of the implications of varying the number of male workers.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the average salaries of male and female workers and how the number of male workers affects the overall average. There is an exploration of the implications of fixing the number of female workers while varying the number of male workers.

Discussion Status

Some participants suggest that allowing the number of male workers to vary leads to a conclusion that option (C) could be correct. However, there is no explicit consensus on this point, and the discussion remains open to interpretation.

Contextual Notes

The discussion involves assumptions about the number of male and female workers, which are not specified, leading to varying interpretations of the average salary calculation.

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Homework Statement



The average salary of all female workers is £35,000. The average salary of all male workers is £41,000. What must be true about the average salary of all workers?
A) It must be £38,000.
B) It must be larger than the median salary.
C) It could be any number between £35,000 and £41,000.
D) It must be larger than £38,000.

Homework Equations





The Attempt at a Solution



i think the answe is (C) but I'm not sure
 
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If there are F female workers and M male workers, then the average salary is (35000F +41000M)/(F+M). If F is fixed and you allow M to vary between 0 and infinity what do you find?
 
oh so if we allow M to vary then (C) is the correct answer...right?
 
Aye indeed.
 

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